What are basis functions and why do we need them?¶

After this quick introduction, you can explore the use of different basis functions with the model provided below. In the different figures you can either compare different basis functions or play with the parameters of one basis functions to observe their influence on the graph. Have fun!

References:

text:

Cai, E. (2014). Gaussian Basis Function Models [Blog post]. The Chemical Statistician. Retrieved from https://chemicalstatistician.wordpress.com/tag/gaussian-basis-function-models/. (Last accessed: January 30, 2023).

Saeed, M. (2021). A Gentle Introduction To Sigmoid Function [Blog post]. Machine Learning Mastery. Retrieved from https://machinelearningmastery.com/a-gentle-introduction-to-sigmoid-function/. (Last accessed: January 30, 2023)

Shene, C. (2011). B-spline Basis Functions. Michigan Technological University. Retrieved from https://pages.mtu.edu/~shene/COURSES/cs3621/NOTES/spline/B-spline/bspline-basis.html. (Last accessed: January 30, 2023).

Ramsay, J. O., & Silverman, B. W. (n.d.). Example: B-Spline Basis. McGill University. Retrieved from http://www.psych.mcgill.ca/misc/fda/ex-basis-a1.html. (Last accessed: January 30, 2023).

images: all images in the presentation were generated using our model

dataset: Pipa, G. (2022). Course: Neuroinformatics Content, Coding Assignments